Every Minkowski sum of unit simplices with nonnegative integer coefficients has the integer decomposition property and a toric ideal generated by quadratic binomials with a squarefree initial ideal.
Bruns, The quest for counterexamples in toric geometry, Commutative algebra and alge- braic geometry, 45–61, Ramanujan Math
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Toric ideals of Minkowski sums of unit simplices
Every Minkowski sum of unit simplices with nonnegative integer coefficients has the integer decomposition property and a toric ideal generated by quadratic binomials with a squarefree initial ideal.